Classical and Quantum Conway Game of Life - Methodologies and Applications
HyperComplex Seminar via YouTube
Overview
Syllabus
Methodologies in description Classical and Quantum Conway Game of Life
Structures in the Classical Conway Game of Life (generated in the created simulator)
Rules of the Stochastic Conway Game of Life
Life expectancy of the population depending on the level of probability
Generalization of the Stochastic Conway Game of Life to the case of N species of cellular automata
Four competing cellular automata
Description of the dynamics of the Stochastic Gam of Life by using statistical physics methodology
Diffusion dynamics for a two-barrier system with two small holes in each barrier
Evolution of the probability distribution over time in a system with two sinusoidally moving barriers
The Complex Stochastic Game of Life as the prototype of the Quantum Game of Life (one-dimensional case)
Evolution of the probability distribution over time in the one-dimensional Complex Game of life
Mapping the Stochastic Game of Life to Quantum Mechanics methodology as an example of functional data analysis
Mapping the Stochastic Game of Life using quantum mechanics methodology (step 2)
Determination of the effective complex potential from the Schrödinger equation derived from the probability density occurring in a classical stochastic process (e.g. Stochastic Game of Life)
Determination of the effective complex potential of the Complex Game of Life using the Schrödinger equation
Tight-binding model in single-electron device
Parametrization of tight-binding Hamiltonian
Anomalous features of tight-binding model reproducing the behavior of Conway Game of Life
Summary of the obtained analytical and numerical results
Literature
Taught by
HyperComplex Seminar